Signal and Image Reconstruction with Tight Frames via Unconstrained ${\ell }_1-\alpha {\ell }_2$-Analysis Minimizations

Peng Li, Huanmin Ge, Pengbo Geng

In the paper, we introduce an unconstrained analysis model based on the ${\ell }_1-\alpha {\ell }_2$ $(0<\alpha \le 1)$ minimization for the signal and image reconstruction. We develop some new…